Yes, it is not a problem.
Safety wise it is not a problem because the inverter will limit the current throughput. Think of the inverter as the load on the PV array, in this case. There is no problem with having a power supply that exceeds the required load. You can double check inverter input specs to make sure, but this probably will always be the case at the power ratio you've mentioned.
Economics-wise, it is not necessarily a problem because a PV array will actually produce it's rated output only a very small amount of the time. It will only reach peak output in the middle of the day, and on most days peak will be less than 100% of its rating. Combine this with the fact that the inverter will be only about 96% efficient, then choosing an inverter with a rated output of between 85% and 95% involves losing very little potential energy production, probably no more than a couple percent, if any. So it will often be a better choice than choosing the next size up inverter whose output is greater than 100% of the array, because in that case you are paying for inverter capacity that will never be required.
In your case, your 6.75kW array can be expected to produce roughly $900 worth of electricity a year at average US rates. If the next size inverter is 7000w, and we assume $0.50 per watt for additional inverter capacity, that's $500 in additional inverter costs. If the inverter is expected to last 15 years, then you need to make $33.33 each year in additional production to cover that. That is 3.7% of expected production, which is probably more than you can actually expect to gain by upsizing the inverter.
The exact break-even point is a guessing game, but the design you were given is entirely reasonable.